Which of the statements below is TRUE for the following two-player, extensive form game with imperfect information where player 1 has two types and player 2 cannot observe the action of the Nature but observes the actions of oplayer 1: 1,1 3,2 U U L 1 R 0.7 W 3,0 2,3 Nature 1,2 3,2 0.3 S L 1 R D 1,1 0,1 A. There exists a separating Perfect Bayesian Equilibrium in which Player 1 of W-type chooses L B. There exists a separating Perfect Bayesian Equilibrium in which Player 1 of S-type chooses L C. There is no separating Perfect Bayesian Equilibrium D. There exists a separating Perfect Bayesian Equilibrium in which Player 1 of W.type chooses R D U 2 D U

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter8: Game Theory
Section: Chapter Questions
Problem 8.9P
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Which of the statements below is TRUE for the following two-player, extensive form game with imperfect information where player 1 has two types and player 2 cannot observe the action of the Nature but
observes the actions of oplayer 1:
1,1
3,2
U
U
L
1 R
0.7 W
3,0
2,3
Nature
1,2
3,2
0.3 S
L
1
R
1,1
0,1
A. There exists a separating Perfect Bayesian Equilibrium in which Player 1 of W-type chooses L
B. There exists a separating Perfect Bayesian Equilibrium in which Player 1 of S-type chooses L
C. There is no separating Perfect Bayesian Equilibrium
D. There exists a separating Perfect Bayesian Equilibrium in which Player 1 of W-type chooses R
D
U
D
2
2
D
U
D
Transcribed Image Text:Which of the statements below is TRUE for the following two-player, extensive form game with imperfect information where player 1 has two types and player 2 cannot observe the action of the Nature but observes the actions of oplayer 1: 1,1 3,2 U U L 1 R 0.7 W 3,0 2,3 Nature 1,2 3,2 0.3 S L 1 R 1,1 0,1 A. There exists a separating Perfect Bayesian Equilibrium in which Player 1 of W-type chooses L B. There exists a separating Perfect Bayesian Equilibrium in which Player 1 of S-type chooses L C. There is no separating Perfect Bayesian Equilibrium D. There exists a separating Perfect Bayesian Equilibrium in which Player 1 of W-type chooses R D U D 2 2 D U D
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